If a small object, such as a metal ball, has a high density, which of the following must be true about its mass?

• A. Its mass does not affect its density.
• B. Its mass and volume are equal.
• C. Its mass is large relative to its volume.
• D. Its mass is small compared to its volume.

Answer: (C)

Verified step by step guidance

1. Recall the definition of density, which is given by the formula: \(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\).
2. Understand that if an object has a high density, it means the ratio of its mass to its volume is large.
3. Since the object is small (meaning it has a small volume), for the density to be high, the mass must be relatively large compared to that small volume.
4. Recognize that the statement 'Its mass is large relative to its volume' directly aligns with the concept of high density.
5. Conclude that the mass does affect density through this ratio, and mass and volume cannot be equal because they have different units and physical meanings.